slide1
Download
Skip this Video
Download Presentation
Ariel Hernandez (Power Point) Michellene Saegh ( Problem Solving)

Loading in 2 Seconds...

play fullscreen
1 / 15

Ariel Hernandez (Power Point) Michellene Saegh ( Problem Solving) - PowerPoint PPT Presentation


  • 76 Views
  • Uploaded on

Team THUNDERSTORM. Ariel Hernandez (Power Point) Michellene Saegh ( Problem Solving) and Raynelle Salters (Graphing). Pg. 369 #32 R(x) = ( X 4 ) / ( X 2 - 9) Step 1: < FACTOR > R(x) = ( X 4 ) / ( X 2 - 9)  R(x) = ( X 4 ) / (x-3)(x+3). Step 2:

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Ariel Hernandez (Power Point) Michellene Saegh ( Problem Solving)' - anais


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

Team THUNDERSTORM

Ariel Hernandez (Power Point)

MichelleneSaegh(Problem Solving)

and Raynelle Salters (Graphing)

slide2

Pg. 369 #32

R(x) = (X4) / (X2 - 9)

Step 1: < FACTOR >

R(x) = (X4) / (X2 - 9) 

R(x) = (X4) / (x-3)(x+3)

slide3

Step 2:

FIND THE DOMAIN

R(x) = (X4) / (x-3)(x+3)

You have (x-3)(x+3) in the

Denominator

So set them equal to Zero

x-3 = 0 and x+ 3= 0

x ≠ 3 x ≠ -3

The Domain is all real numbers except:

x = 3 and x = -3

slide4

Step 3:

Find the Vertical Asymptotes

Take the Denominator of the Function

R(x) = (X4) / (X2 - 9)

and set it equal to zero

X2 – 9 = 0

X2 = 9

√x2 = √9

X = 3 and -3

slide5

So since X = 3 and X= -3 then that means the function R(x) = (X4) / (X2 - 9)

Has two vertical asymptotes

One at X = -3 and the other at X = 3

slide6

Step 4: Finding the Horizontal Asymptotes

To find the Horizontal Asymptotes of the Function

R(x) = (X4) / (X2 - 9)

Compare the Degrees of the numerator and the denominator

In this case

The Numerator has aX4with a degree of 4

The Denominator has X2 with a degree of 2

slide7

Therefore : The N(4) > D(2)

So according the Rule about Horizontal Asymptotes

In which the degree of the numerator is n

and degree of the denominator is m.

If n > m + 1

That tells you that the Graph of R has neither a horizontal behavior nor an oblique asymptote.

So NO Horizontal Asymptote for R(x) = (X4) / (X2 - 9)

slide8

Step 5:

Finding the x and y intercepts of R(x) = (X4) / (X2 - 9)

For the x-intercept

Set R(x) = (X4) / (X2 - 9) = 0 and solve

(X4) / (X2 - 9) = 0

(X4) = 0

4√(X4= 4√0

X= 0

Therefore the x-intercept for R(x) = (X4) / (X2 - 9)

Is (0, 0)

slide9

For the y-intercept

Plug in Zero in place of X R(x) = (X4) / (X2 - 9) to find the x coordinate

R(x) = (04) / (02 - 9)

y = (0) / (- 9)

y = 0

Therefore the y-interceptfor R(x) = (X4) / (X2 - 9)

Is (0,0)

slide10

R(x) = (X4) / (X2 - 9)

X-intercept (0,0) and Y-intercept (0,0)

slide11

Step 6:

Plotting Points To Graph The Function R(x) = (X4) / (X2 - 9)

Zoomed In

slide15

Team THUNDERSTORM

THE END

WATCH OUT FOR LIGHTNING

ad